IDEAS home Printed from https://ideas.repec.org/a/eee/stapro/v77y2007i5p490-496.html
   My bibliography  Save this article

Some characterizations of the spherical harmonics coefficients for isotropic random fields

Author

Listed:
  • Baldi, Paolo
  • Marinucci, Domenico

Abstract

In this paper we provide some simple characterizations for the spherical harmonics coefficients of an isotropic random field on the sphere. The main result is a characterization of isotropic gaussian fields through independence of the coefficients of their development in spherical harmonics.

Suggested Citation

  • Baldi, Paolo & Marinucci, Domenico, 2007. "Some characterizations of the spherical harmonics coefficients for isotropic random fields," Statistics & Probability Letters, Elsevier, vol. 77(5), pages 490-496, March.
    • Handle: RePEc:eee:stapro:v:77:y:2007:i:5:p:490-496
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0167-7152(06)00269-0
    Download Restriction: Full text for ScienceDirect subscribers only
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Baldi, Paolo & Rossi, Maurizia, 2014. "Representation of Gaussian isotropic spin random fields," Stochastic Processes and their Applications, Elsevier, vol. 124(5), pages 1910-1941.
    2. Marinucci, Domenico & Peccati, Giovanni, 2008. "High-frequency asymptotics for subordinated stationary fields on an Abelian compact group," Stochastic Processes and their Applications, Elsevier, vol. 118(4), pages 585-613, April.
    3. Marinucci, D. & Peccati, G., 2010. "Representations of SO(3) and angular polyspectra," Journal of Multivariate Analysis, Elsevier, vol. 101(1), pages 77-100, January.
    4. Durastanti, Claudio & Geller, Daryl & Marinucci, Domenico, 2012. "Adaptive nonparametric regression on spin fiber bundles," Journal of Multivariate Analysis, Elsevier, vol. 104(1), pages 16-38, February.
    5. Bingham, Nicholas H. & Symons, Tasmin L., 2022. "Gaussian random fields on the sphere and sphere cross line," Stochastic Processes and their Applications, Elsevier, vol. 150(C), pages 788-801.
    6. D’Ovidio, Mirko & Leonenko, Nikolai & Orsingher, Enzo, 2016. "Fractional spherical random fields," Statistics & Probability Letters, Elsevier, vol. 116(C), pages 146-156.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:stapro:v:77:y:2007:i:5:p:490-496. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    We have no bibliographic references for this item. You can help adding them by using this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/wps/find/journaldescription.cws_home/622892/description#description .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.